More than 30 hours after violence erupted between supporters of Islamist President Mohamed Morsi and those opposing him, the Egyptian president today addressed the nation in a live televised speech.

Defying calls to curb his sweeping powers, Morsi vowed to push on with a December 15 referendum on the controversial new constitution, saying "afterwards, there should be no obstacle and everyone must follow its will".

Morsi held figures of the opposition and remnants of the former regime responsible for the recent events, adding, more details would be revealed in the coming days by the prosecution.

In his speech, Morsi said more than 80 people had been arrested.

Morsi offered to hold dialogue with the opposition and to meet their representatives on Saturday in his offices.

As soon as the speech ended Egyptian social media was abuzz with calls for taking to the streets tomorrow once again in objection to the current situation.

Concurrently the main headquarters of the Freedom and Justice Party in Mukkatam area was set on fire.

Seven people died and more than 700 were injured yesterday in clashes between Morsi's Islamist supporters and his mainly secular opponents in Egypt's worst political crisis since Morsi took office in June.

The anti-Morsi camp is furious with the president for assuming sweeping powers two weeks ago.